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

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


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

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

Reorder the terms:
8 + 4x = 3 + -3(-5 + 2x)
8 + 4x = 3 + (-5 * -3 + 2x * -3)
8 + 4x = 3 + (15 + -6x)

Combine like terms: 3 + 15 = 18
8 + 4x = 18 + -6x

Solving
8 + 4x = 18 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
8 + 4x + 6x = 18 + -6x + 6x

Combine like terms: 4x + 6x = 10x
8 + 10x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
8 + 10x = 18 + 0
8 + 10x = 18

Add '-8' to each side of the equation.
8 + -8 + 10x = 18 + -8

Combine like terms: 8 + -8 = 0
0 + 10x = 18 + -8
10x = 18 + -8

Combine like terms: 18 + -8 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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