-2(7x-5)+8x=3+2(2x-4)

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Solution for -2(7x-5)+8x=3+2(2x-4) equation:


Simplifying
-2(7x + -5) + 8x = 3 + 2(2x + -4)

Reorder the terms:
-2(-5 + 7x) + 8x = 3 + 2(2x + -4)
(-5 * -2 + 7x * -2) + 8x = 3 + 2(2x + -4)
(10 + -14x) + 8x = 3 + 2(2x + -4)

Combine like terms: -14x + 8x = -6x
10 + -6x = 3 + 2(2x + -4)

Reorder the terms:
10 + -6x = 3 + 2(-4 + 2x)
10 + -6x = 3 + (-4 * 2 + 2x * 2)
10 + -6x = 3 + (-8 + 4x)

Combine like terms: 3 + -8 = -5
10 + -6x = -5 + 4x

Solving
10 + -6x = -5 + 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.
10 + -6x + -4x = -5 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
10 + -10x = -5 + 0
10 + -10x = -5

Add '-10' to each side of the equation.
10 + -10 + -10x = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -10x = -5 + -10
-10x = -5 + -10

Combine like terms: -5 + -10 = -15
-10x = -15

Divide each side by '-10'.
x = 1.5

Simplifying
x = 1.5

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