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

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


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

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

Reorder the terms:
-6 + 4x + -10x = 2(2x + 7)

Combine like terms: 4x + -10x = -6x
-6 + -6x = 2(2x + 7)

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

Solving
-6 + -6x = 14 + 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.
-6 + -6x + -4x = 14 + 4x + -4x

Combine like terms: -6x + -4x = -10x
-6 + -10x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + -10x = 14 + 0
-6 + -10x = 14

Add '6' to each side of the equation.
-6 + 6 + -10x = 14 + 6

Combine like terms: -6 + 6 = 0
0 + -10x = 14 + 6
-10x = 14 + 6

Combine like terms: 14 + 6 = 20
-10x = 20

Divide each side by '-10'.
x = -2

Simplifying
x = -2

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