2(x-1)+7=4x+13

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Solution for 2(x-1)+7=4x+13 equation:


Simplifying
2(x + -1) + 7 = 4x + 13

Reorder the terms:
2(-1 + x) + 7 = 4x + 13
(-1 * 2 + x * 2) + 7 = 4x + 13
(-2 + 2x) + 7 = 4x + 13

Reorder the terms:
-2 + 7 + 2x = 4x + 13

Combine like terms: -2 + 7 = 5
5 + 2x = 4x + 13

Reorder the terms:
5 + 2x = 13 + 4x

Solving
5 + 2x = 13 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + 2x + -4x = 13 + 4x + -4x

Combine like terms: 2x + -4x = -2x
5 + -2x = 13 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -2x = 13 + 0
5 + -2x = 13

Add '-5' to each side of the equation.
5 + -5 + -2x = 13 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 13 + -5
-2x = 13 + -5

Combine like terms: 13 + -5 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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