Solve the linear equation: {:[4(7x+2)-13=3(x+15)],[x=]:}

Question

Solve the linear equation:  {:[4(7x+2)-13=3(x+15)],[x=]:}

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Expand and Distribute: First, we need to expand the equation by distributing the multiplication over addition on both sides. On the left side, we multiply 4 with both 7x and 2. On the right side, we multiply 3 with both x and 15. Calculation: 4 * 7x + 4 * 2 - 13 = 3 * x + 3 * 15Simplify Multiplications: Now, we simplify the left and right sides of the equation by performing the multiplications. Calculation: 28x + 8 - 13 = 3x + 45Combine Like Terms: Next, we simplify the left side further by combining like terms (8 and -13). Calculation: 28x - 5 = 3x + 45Isolate x Terms: To isolate x, we need to get all the x terms on one side and the constants on the other. We'll subtract 3x from both sides of the equation. Calculation: 28x - 3x - 5 = 3x - 3x + 45Add and Subtract Constants: After subtracting 3x from both sides, we simplify the equation. Calculation: 25x - 5 = 45Isolate x Term: Next, we need to isolate the x term by adding 5 to both sides of the equation to move the constant to the right side. Calculation: 25x - 5 + 5 = 45 + 5Perform Addition: Now, we simplify the equation by performing the addition. Calculation: 25x = 50Solve for x: Finally, we solve for x by dividing both sides of the equation by 25. Calculation: x = 50 / 25Calculate Final Value: We calculate the division to find the value of x. Calculation: x = 2

Solve the linear equation: $\newline$ $4(7x+2)-13=3(x+15)$ , $\newline$ $x=$

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Solve the linear equation:\newline4(7x+2)−13=3(x+15)4(7x+2)-13=3(x+15)4(7x+2)−13=3(x+15), \newlinex=x=x=

Solve the linear equation: $\newline$ $4(7x+2)-13=3(x+15)$ , $\newline$ $x=$