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

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


Simplifying
4(x + -3) + 7 = 10x + -1(x + -3)

Reorder the terms:
4(-3 + x) + 7 = 10x + -1(x + -3)
(-3 * 4 + x * 4) + 7 = 10x + -1(x + -3)
(-12 + 4x) + 7 = 10x + -1(x + -3)

Reorder the terms:
-12 + 7 + 4x = 10x + -1(x + -3)

Combine like terms: -12 + 7 = -5
-5 + 4x = 10x + -1(x + -3)

Reorder the terms:
-5 + 4x = 10x + -1(-3 + x)
-5 + 4x = 10x + (-3 * -1 + x * -1)
-5 + 4x = 10x + (3 + -1x)

Reorder the terms:
-5 + 4x = 3 + 10x + -1x

Combine like terms: 10x + -1x = 9x
-5 + 4x = 3 + 9x

Solving
-5 + 4x = 3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-5 + 4x + -9x = 3 + 9x + -9x

Combine like terms: 4x + -9x = -5x
-5 + -5x = 3 + 9x + -9x

Combine like terms: 9x + -9x = 0
-5 + -5x = 3 + 0
-5 + -5x = 3

Add '5' to each side of the equation.
-5 + 5 + -5x = 3 + 5

Combine like terms: -5 + 5 = 0
0 + -5x = 3 + 5
-5x = 3 + 5

Combine like terms: 3 + 5 = 8
-5x = 8

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

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