15x=3(x-1)-4(1-x)

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Solution for 15x=3(x-1)-4(1-x) equation: 


Simplifying
15x = 3(x + -1) + -4(1 + -1x)

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

Reorder the terms:
15x = -3 + -4 + 3x + 4x

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

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

Solving
15x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
15x + -7x = -7 + 7x + -7x

Combine like terms: 15x + -7x = 8x
8x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
8x = -7 + 0
8x = -7

Divide each side by '8'.
x = -0.875

Simplifying
x = -0.875

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