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

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


Simplifying
-3x + 5 + 2(3 + 5x) + -4(2x + -1) = 2(2 + -1x) + 4(x + 1)
-3x + 5 + (3 * 2 + 5x * 2) + -4(2x + -1) = 2(2 + -1x) + 4(x + 1)
-3x + 5 + (6 + 10x) + -4(2x + -1) = 2(2 + -1x) + 4(x + 1)

Reorder the terms:
-3x + 5 + 6 + 10x + -4(-1 + 2x) = 2(2 + -1x) + 4(x + 1)
-3x + 5 + 6 + 10x + (-1 * -4 + 2x * -4) = 2(2 + -1x) + 4(x + 1)
-3x + 5 + 6 + 10x + (4 + -8x) = 2(2 + -1x) + 4(x + 1)

Reorder the terms:
5 + 6 + 4 + -3x + 10x + -8x = 2(2 + -1x) + 4(x + 1)

Combine like terms: 5 + 6 = 11
11 + 4 + -3x + 10x + -8x = 2(2 + -1x) + 4(x + 1)

Combine like terms: 11 + 4 = 15
15 + -3x + 10x + -8x = 2(2 + -1x) + 4(x + 1)

Combine like terms: -3x + 10x = 7x
15 + 7x + -8x = 2(2 + -1x) + 4(x + 1)

Combine like terms: 7x + -8x = -1x
15 + -1x = 2(2 + -1x) + 4(x + 1)
15 + -1x = (2 * 2 + -1x * 2) + 4(x + 1)
15 + -1x = (4 + -2x) + 4(x + 1)

Reorder the terms:
15 + -1x = 4 + -2x + 4(1 + x)
15 + -1x = 4 + -2x + (1 * 4 + x * 4)
15 + -1x = 4 + -2x + (4 + 4x)

Reorder the terms:
15 + -1x = 4 + 4 + -2x + 4x

Combine like terms: 4 + 4 = 8
15 + -1x = 8 + -2x + 4x

Combine like terms: -2x + 4x = 2x
15 + -1x = 8 + 2x

Solving
15 + -1x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15 + -1x + -2x = 8 + 2x + -2x

Combine like terms: -1x + -2x = -3x
15 + -3x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -3x = 8 + 0
15 + -3x = 8

Add '-15' to each side of the equation.
15 + -15 + -3x = 8 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = 8 + -15
-3x = 8 + -15

Combine like terms: 8 + -15 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333

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