7(2x-1)-2(5x-6)=3-2(4x-5)

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Solution for 7(2x-1)-2(5x-6)=3-2(4x-5) equation:


Simplifying
7(2x + -1) + -2(5x + -6) = 3 + -2(4x + -5)

Reorder the terms:
7(-1 + 2x) + -2(5x + -6) = 3 + -2(4x + -5)
(-1 * 7 + 2x * 7) + -2(5x + -6) = 3 + -2(4x + -5)
(-7 + 14x) + -2(5x + -6) = 3 + -2(4x + -5)

Reorder the terms:
-7 + 14x + -2(-6 + 5x) = 3 + -2(4x + -5)
-7 + 14x + (-6 * -2 + 5x * -2) = 3 + -2(4x + -5)
-7 + 14x + (12 + -10x) = 3 + -2(4x + -5)

Reorder the terms:
-7 + 12 + 14x + -10x = 3 + -2(4x + -5)

Combine like terms: -7 + 12 = 5
5 + 14x + -10x = 3 + -2(4x + -5)

Combine like terms: 14x + -10x = 4x
5 + 4x = 3 + -2(4x + -5)

Reorder the terms:
5 + 4x = 3 + -2(-5 + 4x)
5 + 4x = 3 + (-5 * -2 + 4x * -2)
5 + 4x = 3 + (10 + -8x)

Combine like terms: 3 + 10 = 13
5 + 4x = 13 + -8x

Solving
5 + 4x = 13 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
5 + 4x + 8x = 13 + -8x + 8x

Combine like terms: 4x + 8x = 12x
5 + 12x = 13 + -8x + 8x

Combine like terms: -8x + 8x = 0
5 + 12x = 13 + 0
5 + 12x = 13

Add '-5' to each side of the equation.
5 + -5 + 12x = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 12x = 13 + -5
12x = 13 + -5

Combine like terms: 13 + -5 = 8
12x = 8

Divide each side by '12'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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