10-7x=2(4x-4)+3

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Solution for 10-7x=2(4x-4)+3 equation: 


Simplifying
10 + -7x = 2(4x + -4) + 3

Reorder the terms:
10 + -7x = 2(-4 + 4x) + 3
10 + -7x = (-4 * 2 + 4x * 2) + 3
10 + -7x = (-8 + 8x) + 3

Reorder the terms:
10 + -7x = -8 + 3 + 8x

Combine like terms: -8 + 3 = -5
10 + -7x = -5 + 8x

Solving
10 + -7x = -5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
10 + -7x + -8x = -5 + 8x + -8x

Combine like terms: -7x + -8x = -15x
10 + -15x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -15x = -5 + 0
10 + -15x = -5

Add '-10' to each side of the equation.
10 + -10 + -15x = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -15x = -5 + -10
-15x = -5 + -10

Combine like terms: -5 + -10 = -15
-15x = -15

Divide each side by '-15'.
x = 1

Simplifying
x = 1

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