4(2x+3)-2(-x+1)=5(3x+2)-4(2-x)

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


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

Reorder the terms:
4(3 + 2x) + -2(-1x + 1) = 5(3x + 2) + -4(2 + -1x)
(3 * 4 + 2x * 4) + -2(-1x + 1) = 5(3x + 2) + -4(2 + -1x)
(12 + 8x) + -2(-1x + 1) = 5(3x + 2) + -4(2 + -1x)

Reorder the terms:
12 + 8x + -2(1 + -1x) = 5(3x + 2) + -4(2 + -1x)
12 + 8x + (1 * -2 + -1x * -2) = 5(3x + 2) + -4(2 + -1x)
12 + 8x + (-2 + 2x) = 5(3x + 2) + -4(2 + -1x)

Reorder the terms:
12 + -2 + 8x + 2x = 5(3x + 2) + -4(2 + -1x)

Combine like terms: 12 + -2 = 10
10 + 8x + 2x = 5(3x + 2) + -4(2 + -1x)

Combine like terms: 8x + 2x = 10x
10 + 10x = 5(3x + 2) + -4(2 + -1x)

Reorder the terms:
10 + 10x = 5(2 + 3x) + -4(2 + -1x)
10 + 10x = (2 * 5 + 3x * 5) + -4(2 + -1x)
10 + 10x = (10 + 15x) + -4(2 + -1x)
10 + 10x = 10 + 15x + (2 * -4 + -1x * -4)
10 + 10x = 10 + 15x + (-8 + 4x)

Reorder the terms:
10 + 10x = 10 + -8 + 15x + 4x

Combine like terms: 10 + -8 = 2
10 + 10x = 2 + 15x + 4x

Combine like terms: 15x + 4x = 19x
10 + 10x = 2 + 19x

Solving
10 + 10x = 2 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
10 + 10x + -19x = 2 + 19x + -19x

Combine like terms: 10x + -19x = -9x
10 + -9x = 2 + 19x + -19x

Combine like terms: 19x + -19x = 0
10 + -9x = 2 + 0
10 + -9x = 2

Add '-10' to each side of the equation.
10 + -10 + -9x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = 2 + -10
-9x = 2 + -10

Combine like terms: 2 + -10 = -8
-9x = -8

Divide each side by '-9'.
x = 0.8888888889

Simplifying
x = 0.8888888889

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