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

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


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

Reorder the terms:
4(3 + 2x) = 2(5x + -2) + 5
(3 * 4 + 2x * 4) = 2(5x + -2) + 5
(12 + 8x) = 2(5x + -2) + 5

Reorder the terms:
12 + 8x = 2(-2 + 5x) + 5
12 + 8x = (-2 * 2 + 5x * 2) + 5
12 + 8x = (-4 + 10x) + 5

Reorder the terms:
12 + 8x = -4 + 5 + 10x

Combine like terms: -4 + 5 = 1
12 + 8x = 1 + 10x

Solving
12 + 8x = 1 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + 8x + -10x = 1 + 10x + -10x

Combine like terms: 8x + -10x = -2x
12 + -2x = 1 + 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -2x = 1 + 0
12 + -2x = 1

Add '-12' to each side of the equation.
12 + -12 + -2x = 1 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = 1 + -12
-2x = 1 + -12

Combine like terms: 1 + -12 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

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