7+4(x-5)=7-2(x-8)

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Solution for 7+4(x-5)=7-2(x-8) equation:


Simplifying
7 + 4(x + -5) = 7 + -2(x + -8)

Reorder the terms:
7 + 4(-5 + x) = 7 + -2(x + -8)
7 + (-5 * 4 + x * 4) = 7 + -2(x + -8)
7 + (-20 + 4x) = 7 + -2(x + -8)

Combine like terms: 7 + -20 = -13
-13 + 4x = 7 + -2(x + -8)

Reorder the terms:
-13 + 4x = 7 + -2(-8 + x)
-13 + 4x = 7 + (-8 * -2 + x * -2)
-13 + 4x = 7 + (16 + -2x)

Combine like terms: 7 + 16 = 23
-13 + 4x = 23 + -2x

Solving
-13 + 4x = 23 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-13 + 4x + 2x = 23 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-13 + 6x = 23 + -2x + 2x

Combine like terms: -2x + 2x = 0
-13 + 6x = 23 + 0
-13 + 6x = 23

Add '13' to each side of the equation.
-13 + 13 + 6x = 23 + 13

Combine like terms: -13 + 13 = 0
0 + 6x = 23 + 13
6x = 23 + 13

Combine like terms: 23 + 13 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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