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

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


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

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

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

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

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

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

Solving
2 + -7x = -1 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
2 + -7x + 6x = -1 + -6x + 6x

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

Combine like terms: -6x + 6x = 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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