4(x+10)-7x=-5(x-6)

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Solution for 4(x+10)-7x=-5(x-6) equation:


Simplifying
4(x + 10) + -7x = -5(x + -6)

Reorder the terms:
4(10 + x) + -7x = -5(x + -6)
(10 * 4 + x * 4) + -7x = -5(x + -6)
(40 + 4x) + -7x = -5(x + -6)

Combine like terms: 4x + -7x = -3x
40 + -3x = -5(x + -6)

Reorder the terms:
40 + -3x = -5(-6 + x)
40 + -3x = (-6 * -5 + x * -5)
40 + -3x = (30 + -5x)

Solving
40 + -3x = 30 + -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.
40 + -3x + 5x = 30 + -5x + 5x

Combine like terms: -3x + 5x = 2x
40 + 2x = 30 + -5x + 5x

Combine like terms: -5x + 5x = 0
40 + 2x = 30 + 0
40 + 2x = 30

Add '-40' to each side of the equation.
40 + -40 + 2x = 30 + -40

Combine like terms: 40 + -40 = 0
0 + 2x = 30 + -40
2x = 30 + -40

Combine like terms: 30 + -40 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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