4(2x+1)=5-3(x-7)

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Solution for 4(2x+1)=5-3(x-7) equation:


Simplifying
4(2x + 1) = 5 + -3(x + -7)

Reorder the terms:
4(1 + 2x) = 5 + -3(x + -7)
(1 * 4 + 2x * 4) = 5 + -3(x + -7)
(4 + 8x) = 5 + -3(x + -7)

Reorder the terms:
4 + 8x = 5 + -3(-7 + x)
4 + 8x = 5 + (-7 * -3 + x * -3)
4 + 8x = 5 + (21 + -3x)

Combine like terms: 5 + 21 = 26
4 + 8x = 26 + -3x

Solving
4 + 8x = 26 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
4 + 8x + 3x = 26 + -3x + 3x

Combine like terms: 8x + 3x = 11x
4 + 11x = 26 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 11x = 26 + 0
4 + 11x = 26

Add '-4' to each side of the equation.
4 + -4 + 11x = 26 + -4

Combine like terms: 4 + -4 = 0
0 + 11x = 26 + -4
11x = 26 + -4

Combine like terms: 26 + -4 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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