4(3+7)-6(4x-5)=10x+3(4x-6)

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Solution for 4(3+7)-6(4x-5)=10x+3(4x-6) equation:


Simplifying
4(3 + 7) + -6(4x + -5) = 10x + 3(4x + -6)

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

Multiply 4 * 10
40 + -6(4x + -5) = 10x + 3(4x + -6)

Reorder the terms:
40 + -6(-5 + 4x) = 10x + 3(4x + -6)
40 + (-5 * -6 + 4x * -6) = 10x + 3(4x + -6)
40 + (30 + -24x) = 10x + 3(4x + -6)

Combine like terms: 40 + 30 = 70
70 + -24x = 10x + 3(4x + -6)

Reorder the terms:
70 + -24x = 10x + 3(-6 + 4x)
70 + -24x = 10x + (-6 * 3 + 4x * 3)
70 + -24x = 10x + (-18 + 12x)

Reorder the terms:
70 + -24x = -18 + 10x + 12x

Combine like terms: 10x + 12x = 22x
70 + -24x = -18 + 22x

Solving
70 + -24x = -18 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
70 + -24x + -22x = -18 + 22x + -22x

Combine like terms: -24x + -22x = -46x
70 + -46x = -18 + 22x + -22x

Combine like terms: 22x + -22x = 0
70 + -46x = -18 + 0
70 + -46x = -18

Add '-70' to each side of the equation.
70 + -70 + -46x = -18 + -70

Combine like terms: 70 + -70 = 0
0 + -46x = -18 + -70
-46x = -18 + -70

Combine like terms: -18 + -70 = -88
-46x = -88

Divide each side by '-46'.
x = 1.913043478

Simplifying
x = 1.913043478

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