7x+23-2x=(-4)-3(-5x+1)

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Solution for 7x+23-2x=(-4)-3(-5x+1) equation:


Simplifying
7x + 23 + -2x = (-4) + -3(-5x + 1)

Reorder the terms:
23 + 7x + -2x = (-4) + -3(-5x + 1)

Combine like terms: 7x + -2x = 5x
23 + 5x = (-4) + -3(-5x + 1)
23 + 5x = -4 + -3(-5x + 1)

Reorder the terms:
23 + 5x = -4 + -3(1 + -5x)
23 + 5x = -4 + (1 * -3 + -5x * -3)
23 + 5x = -4 + (-3 + 15x)

Combine like terms: -4 + -3 = -7
23 + 5x = -7 + 15x

Solving
23 + 5x = -7 + 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.
23 + 5x + -15x = -7 + 15x + -15x

Combine like terms: 5x + -15x = -10x
23 + -10x = -7 + 15x + -15x

Combine like terms: 15x + -15x = 0
23 + -10x = -7 + 0
23 + -10x = -7

Add '-23' to each side of the equation.
23 + -23 + -10x = -7 + -23

Combine like terms: 23 + -23 = 0
0 + -10x = -7 + -23
-10x = -7 + -23

Combine like terms: -7 + -23 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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