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

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


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

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

Reorder the terms:
-2 + 4 + 2x = 7x + -2 + 5x

Combine like terms: -2 + 4 = 2
2 + 2x = 7x + -2 + 5x

Reorder the terms:
2 + 2x = -2 + 7x + 5x

Combine like terms: 7x + 5x = 12x
2 + 2x = -2 + 12x

Solving
2 + 2x = -2 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
2 + 2x + -12x = -2 + 12x + -12x

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

Combine like terms: 12x + -12x = 0
2 + -10x = -2 + 0
2 + -10x = -2

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

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

Combine like terms: -2 + -2 = -4
-10x = -4

Divide each side by '-10'.
x = 0.4

Simplifying
x = 0.4

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