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

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


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

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

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

Combine like terms: -8 + 10 = 2
2 + 4x = 3(2 + x) + -7
2 + 4x = (2 * 3 + x * 3) + -7
2 + 4x = (6 + 3x) + -7

Reorder the terms:
2 + 4x = 6 + -7 + 3x

Combine like terms: 6 + -7 = -1
2 + 4x = -1 + 3x

Solving
2 + 4x = -1 + 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.
2 + 4x + -3x = -1 + 3x + -3x

Combine like terms: 4x + -3x = 1x
2 + 1x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 1x = -1 + 0
2 + 1x = -1

Add '-2' to each side of the equation.
2 + -2 + 1x = -1 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -1 + -2
1x = -1 + -2

Combine like terms: -1 + -2 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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