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

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Solution for 7(2x-1)+5(2-3x)=2x equation:


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

Reorder the terms:
7(-1 + 2x) + 5(2 + -3x) = 2x
(-1 * 7 + 2x * 7) + 5(2 + -3x) = 2x
(-7 + 14x) + 5(2 + -3x) = 2x
-7 + 14x + (2 * 5 + -3x * 5) = 2x
-7 + 14x + (10 + -15x) = 2x

Reorder the terms:
-7 + 10 + 14x + -15x = 2x

Combine like terms: -7 + 10 = 3
3 + 14x + -15x = 2x

Combine like terms: 14x + -15x = -1x
3 + -1x = 2x

Solving
3 + -1x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + -1x + -2x = 2x + -2x

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

Combine like terms: 2x + -2x = 0
3 + -3x = 0

Add '-3' to each side of the equation.
3 + -3 + -3x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = 0 + -3
-3x = 0 + -3

Combine like terms: 0 + -3 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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