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

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


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

Reorder the terms:
5(-5 + 2x) + 2(x + -3) + -4 = 3(x + -2) + -4(2 + -3x)
(-5 * 5 + 2x * 5) + 2(x + -3) + -4 = 3(x + -2) + -4(2 + -3x)
(-25 + 10x) + 2(x + -3) + -4 = 3(x + -2) + -4(2 + -3x)

Reorder the terms:
-25 + 10x + 2(-3 + x) + -4 = 3(x + -2) + -4(2 + -3x)
-25 + 10x + (-3 * 2 + x * 2) + -4 = 3(x + -2) + -4(2 + -3x)
-25 + 10x + (-6 + 2x) + -4 = 3(x + -2) + -4(2 + -3x)

Reorder the terms:
-25 + -6 + -4 + 10x + 2x = 3(x + -2) + -4(2 + -3x)

Combine like terms: -25 + -6 = -31
-31 + -4 + 10x + 2x = 3(x + -2) + -4(2 + -3x)

Combine like terms: -31 + -4 = -35
-35 + 10x + 2x = 3(x + -2) + -4(2 + -3x)

Combine like terms: 10x + 2x = 12x
-35 + 12x = 3(x + -2) + -4(2 + -3x)

Reorder the terms:
-35 + 12x = 3(-2 + x) + -4(2 + -3x)
-35 + 12x = (-2 * 3 + x * 3) + -4(2 + -3x)
-35 + 12x = (-6 + 3x) + -4(2 + -3x)
-35 + 12x = -6 + 3x + (2 * -4 + -3x * -4)
-35 + 12x = -6 + 3x + (-8 + 12x)

Reorder the terms:
-35 + 12x = -6 + -8 + 3x + 12x

Combine like terms: -6 + -8 = -14
-35 + 12x = -14 + 3x + 12x

Combine like terms: 3x + 12x = 15x
-35 + 12x = -14 + 15x

Solving
-35 + 12x = -14 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-35 + 12x + -15x = -14 + 15x + -15x

Combine like terms: 12x + -15x = -3x
-35 + -3x = -14 + 15x + -15x

Combine like terms: 15x + -15x = 0
-35 + -3x = -14 + 0
-35 + -3x = -14

Add '35' to each side of the equation.
-35 + 35 + -3x = -14 + 35

Combine like terms: -35 + 35 = 0
0 + -3x = -14 + 35
-3x = -14 + 35

Combine like terms: -14 + 35 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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