3(2x-7)-5(3x+1)+4x=8-2(5x-3)

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Solution for 3(2x-7)-5(3x+1)+4x=8-2(5x-3) equation:


Simplifying
3(2x + -7) + -5(3x + 1) + 4x = 8 + -2(5x + -3)

Reorder the terms:
3(-7 + 2x) + -5(3x + 1) + 4x = 8 + -2(5x + -3)
(-7 * 3 + 2x * 3) + -5(3x + 1) + 4x = 8 + -2(5x + -3)
(-21 + 6x) + -5(3x + 1) + 4x = 8 + -2(5x + -3)

Reorder the terms:
-21 + 6x + -5(1 + 3x) + 4x = 8 + -2(5x + -3)
-21 + 6x + (1 * -5 + 3x * -5) + 4x = 8 + -2(5x + -3)
-21 + 6x + (-5 + -15x) + 4x = 8 + -2(5x + -3)

Reorder the terms:
-21 + -5 + 6x + -15x + 4x = 8 + -2(5x + -3)

Combine like terms: -21 + -5 = -26
-26 + 6x + -15x + 4x = 8 + -2(5x + -3)

Combine like terms: 6x + -15x = -9x
-26 + -9x + 4x = 8 + -2(5x + -3)

Combine like terms: -9x + 4x = -5x
-26 + -5x = 8 + -2(5x + -3)

Reorder the terms:
-26 + -5x = 8 + -2(-3 + 5x)
-26 + -5x = 8 + (-3 * -2 + 5x * -2)
-26 + -5x = 8 + (6 + -10x)

Combine like terms: 8 + 6 = 14
-26 + -5x = 14 + -10x

Solving
-26 + -5x = 14 + -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.
-26 + -5x + 10x = 14 + -10x + 10x

Combine like terms: -5x + 10x = 5x
-26 + 5x = 14 + -10x + 10x

Combine like terms: -10x + 10x = 0
-26 + 5x = 14 + 0
-26 + 5x = 14

Add '26' to each side of the equation.
-26 + 26 + 5x = 14 + 26

Combine like terms: -26 + 26 = 0
0 + 5x = 14 + 26
5x = 14 + 26

Combine like terms: 14 + 26 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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