5+2(4x-6)=7-5(2x+1)

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Solution for 5+2(4x-6)=7-5(2x+1) equation:


Simplifying
5 + 2(4x + -6) = 7 + -5(2x + 1)

Reorder the terms:
5 + 2(-6 + 4x) = 7 + -5(2x + 1)
5 + (-6 * 2 + 4x * 2) = 7 + -5(2x + 1)
5 + (-12 + 8x) = 7 + -5(2x + 1)

Combine like terms: 5 + -12 = -7
-7 + 8x = 7 + -5(2x + 1)

Reorder the terms:
-7 + 8x = 7 + -5(1 + 2x)
-7 + 8x = 7 + (1 * -5 + 2x * -5)
-7 + 8x = 7 + (-5 + -10x)

Combine like terms: 7 + -5 = 2
-7 + 8x = 2 + -10x

Solving
-7 + 8x = 2 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-7 + 8x + 10x = 2 + -10x + 10x

Combine like terms: 8x + 10x = 18x
-7 + 18x = 2 + -10x + 10x

Combine like terms: -10x + 10x = 0
-7 + 18x = 2 + 0
-7 + 18x = 2

Add '7' to each side of the equation.
-7 + 7 + 18x = 2 + 7

Combine like terms: -7 + 7 = 0
0 + 18x = 2 + 7
18x = 2 + 7

Combine like terms: 2 + 7 = 9
18x = 9

Divide each side by '18'.
x = 0.5

Simplifying
x = 0.5

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