5(3x-7)+2=6(2x+5)-7(x-1)

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Solution for 5(3x-7)+2=6(2x+5)-7(x-1) equation:


Simplifying
5(3x + -7) + 2 = 6(2x + 5) + -7(x + -1)

Reorder the terms:
5(-7 + 3x) + 2 = 6(2x + 5) + -7(x + -1)
(-7 * 5 + 3x * 5) + 2 = 6(2x + 5) + -7(x + -1)
(-35 + 15x) + 2 = 6(2x + 5) + -7(x + -1)

Reorder the terms:
-35 + 2 + 15x = 6(2x + 5) + -7(x + -1)

Combine like terms: -35 + 2 = -33
-33 + 15x = 6(2x + 5) + -7(x + -1)

Reorder the terms:
-33 + 15x = 6(5 + 2x) + -7(x + -1)
-33 + 15x = (5 * 6 + 2x * 6) + -7(x + -1)
-33 + 15x = (30 + 12x) + -7(x + -1)

Reorder the terms:
-33 + 15x = 30 + 12x + -7(-1 + x)
-33 + 15x = 30 + 12x + (-1 * -7 + x * -7)
-33 + 15x = 30 + 12x + (7 + -7x)

Reorder the terms:
-33 + 15x = 30 + 7 + 12x + -7x

Combine like terms: 30 + 7 = 37
-33 + 15x = 37 + 12x + -7x

Combine like terms: 12x + -7x = 5x
-33 + 15x = 37 + 5x

Solving
-33 + 15x = 37 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-33 + 15x + -5x = 37 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-33 + 10x = 37 + 5x + -5x

Combine like terms: 5x + -5x = 0
-33 + 10x = 37 + 0
-33 + 10x = 37

Add '33' to each side of the equation.
-33 + 33 + 10x = 37 + 33

Combine like terms: -33 + 33 = 0
0 + 10x = 37 + 33
10x = 37 + 33

Combine like terms: 37 + 33 = 70
10x = 70

Divide each side by '10'.
x = 7

Simplifying
x = 7

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