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

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


Simplifying
-4x + 2(x + -3) = 4x + -1(3 + 5x) + -7

Reorder the terms:
-4x + 2(-3 + x) = 4x + -1(3 + 5x) + -7
-4x + (-3 * 2 + x * 2) = 4x + -1(3 + 5x) + -7
-4x + (-6 + 2x) = 4x + -1(3 + 5x) + -7

Reorder the terms:
-6 + -4x + 2x = 4x + -1(3 + 5x) + -7

Combine like terms: -4x + 2x = -2x
-6 + -2x = 4x + -1(3 + 5x) + -7
-6 + -2x = 4x + (3 * -1 + 5x * -1) + -7
-6 + -2x = 4x + (-3 + -5x) + -7

Reorder the terms:
-6 + -2x = -3 + -7 + 4x + -5x

Combine like terms: -3 + -7 = -10
-6 + -2x = -10 + 4x + -5x

Combine like terms: 4x + -5x = -1x
-6 + -2x = -10 + -1x

Solving
-6 + -2x = -10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + -2x + x = -10 + -1x + x

Combine like terms: -2x + x = -1x
-6 + -1x = -10 + -1x + x

Combine like terms: -1x + x = 0
-6 + -1x = -10 + 0
-6 + -1x = -10

Add '6' to each side of the equation.
-6 + 6 + -1x = -10 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -10 + 6
-1x = -10 + 6

Combine like terms: -10 + 6 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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