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

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


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

Reorder the terms:
5(-2 + 3x) + 2(5x + -3) = 7(4x + -1) + -3(5x + -1)
(-2 * 5 + 3x * 5) + 2(5x + -3) = 7(4x + -1) + -3(5x + -1)
(-10 + 15x) + 2(5x + -3) = 7(4x + -1) + -3(5x + -1)

Reorder the terms:
-10 + 15x + 2(-3 + 5x) = 7(4x + -1) + -3(5x + -1)
-10 + 15x + (-3 * 2 + 5x * 2) = 7(4x + -1) + -3(5x + -1)
-10 + 15x + (-6 + 10x) = 7(4x + -1) + -3(5x + -1)

Reorder the terms:
-10 + -6 + 15x + 10x = 7(4x + -1) + -3(5x + -1)

Combine like terms: -10 + -6 = -16
-16 + 15x + 10x = 7(4x + -1) + -3(5x + -1)

Combine like terms: 15x + 10x = 25x
-16 + 25x = 7(4x + -1) + -3(5x + -1)

Reorder the terms:
-16 + 25x = 7(-1 + 4x) + -3(5x + -1)
-16 + 25x = (-1 * 7 + 4x * 7) + -3(5x + -1)
-16 + 25x = (-7 + 28x) + -3(5x + -1)

Reorder the terms:
-16 + 25x = -7 + 28x + -3(-1 + 5x)
-16 + 25x = -7 + 28x + (-1 * -3 + 5x * -3)
-16 + 25x = -7 + 28x + (3 + -15x)

Reorder the terms:
-16 + 25x = -7 + 3 + 28x + -15x

Combine like terms: -7 + 3 = -4
-16 + 25x = -4 + 28x + -15x

Combine like terms: 28x + -15x = 13x
-16 + 25x = -4 + 13x

Solving
-16 + 25x = -4 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-16 + 25x + -13x = -4 + 13x + -13x

Combine like terms: 25x + -13x = 12x
-16 + 12x = -4 + 13x + -13x

Combine like terms: 13x + -13x = 0
-16 + 12x = -4 + 0
-16 + 12x = -4

Add '16' to each side of the equation.
-16 + 16 + 12x = -4 + 16

Combine like terms: -16 + 16 = 0
0 + 12x = -4 + 16
12x = -4 + 16

Combine like terms: -4 + 16 = 12
12x = 12

Divide each side by '12'.
x = 1

Simplifying
x = 1

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