2(5x-7)+4=3x-2(x+6)

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Solution for 2(5x-7)+4=3x-2(x+6) equation:


Simplifying
2(5x + -7) + 4 = 3x + -2(x + 6)

Reorder the terms:
2(-7 + 5x) + 4 = 3x + -2(x + 6)
(-7 * 2 + 5x * 2) + 4 = 3x + -2(x + 6)
(-14 + 10x) + 4 = 3x + -2(x + 6)

Reorder the terms:
-14 + 4 + 10x = 3x + -2(x + 6)

Combine like terms: -14 + 4 = -10
-10 + 10x = 3x + -2(x + 6)

Reorder the terms:
-10 + 10x = 3x + -2(6 + x)
-10 + 10x = 3x + (6 * -2 + x * -2)
-10 + 10x = 3x + (-12 + -2x)

Reorder the terms:
-10 + 10x = -12 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-10 + 10x = -12 + 1x

Solving
-10 + 10x = -12 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + 10x + -1x = -12 + 1x + -1x

Combine like terms: 10x + -1x = 9x
-10 + 9x = -12 + 1x + -1x

Combine like terms: 1x + -1x = 0
-10 + 9x = -12 + 0
-10 + 9x = -12

Add '10' to each side of the equation.
-10 + 10 + 9x = -12 + 10

Combine like terms: -10 + 10 = 0
0 + 9x = -12 + 10
9x = -12 + 10

Combine like terms: -12 + 10 = -2
9x = -2

Divide each side by '9'.
x = -0.2222222222

Simplifying
x = -0.2222222222

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